2029091100 has 144 divisors (see below), whose sum is σ = 6384778848. Its totient is φ = 495452160.

The previous prime is 2029091087. The next prime is 2029091101. The reversal of 2029091100 is 11909202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029091101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183324 + ... + 194076.

It is an arithmetic number, because the mean of its divisors is an integer number (44338742).

Almost surely, 2^2029091100 is an apocalyptic number.

2029091100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2029091100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192389424).

2029091100 is an abundant number, since it is smaller than the sum of its proper divisors (4355687748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2029091100 is a wasteful number, since it uses less digits than its factorization.

2029091100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10824 (or 10817 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 2029091100 is about 45045.4337308456. The cubic root of 2029091100 is about 1266.0004167820. Note that the first 3 decimals are identical.

The spelling of 2029091100 in words is "two billion, twenty-nine million, ninety-one thousand, one hundred".